Limits in Mathematics: Definition and Importance
16 Questions
1 Views

Choose a study mode

Play Quiz
Study Flashcards
Spaced Repetition
Chat to lesson

Podcast

Play an AI-generated podcast conversation about this lesson

Questions and Answers

The limit of a function is the value that the function approaches as the end point or boundary.

True

The study of limits is not important in higher mathematics like calculus.

False

The limit of a function as it approaches x = c is always equal to its value at c.

False

If the value of f is arbitrarily close to the number L for all values of x sufficiently close to c, then the limit of f(x) as x approaches c is L.

<p>True</p> Signup and view all the answers

The limit of a function as x → c exists only if f(c) is defined.

<p>True</p> Signup and view all the answers

The study of limits is not important in higher mathematics like calculus.

<p>False</p> Signup and view all the answers

The limit of a function as it approaches x = c is always equal to its value at c.

<p>False</p> Signup and view all the answers

The limit of a function as x → c exists only if f(c) is defined.

<p>True</p> Signup and view all the answers

If the value of f is arbitrarily close to the number L for all values of x sufficiently close to c, then the limit of f(x) as x approaches c is L.

<p>True</p> Signup and view all the answers

The limit of a function is the value that the function approaches as the end point or boundary.

<p>True</p> Signup and view all the answers

The limit of a function as it approaches x = c is necessarily equal to its value at c.

<p>False</p> Signup and view all the answers

The study of limits is not important in higher mathematics like calculus.

<p>False</p> Signup and view all the answers

The limit of a function as x → c exists only if f(c) is defined.

<p>True</p> Signup and view all the answers

If the value of f is arbitrarily close to the number L for all values of x sufficiently close to c, then the limit of f(x) as x approaches c is L.

<p>True</p> Signup and view all the answers

The limit of a function as it approaches x = c is always equal to its value at c.

<p>False</p> Signup and view all the answers

The limit of a function as it approaches x = c is necessarily equal to its value at c.

<p>False</p> Signup and view all the answers

More Like This

Use Quizgecko on...
Browser
Browser